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Finding the Fourth Proportional to 98.49, 135.78 and 84.61

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Solution

The fourth proportional to 98.49, 135.78 and 84.61 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.49 : 135.78 = 84.61 : x
  2. Step 2: Convert to fraction form
    98.49/135.78 = 84.61/x
  3. Step 3: Cross multiply
    98.49x = 135.78 × 84.61
  4. Step 4: Simplify right side
    98.49x = 11,488.35
  5. Step 5: Solve for x
    x = 11,488.35/98.49
  6. Step 6: Final answer
    x = 116.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.